The paper improves a preliminary experimental study on cluster by adding both theoretical results and tests grid platform. These algorithms solve univalued multivalued pseudo-linear problems using parallel asynchronous multisplitting methods combined with Krylov’s methods. This also analyses these contraction techniques. Two distinct applications, discretized boundary value problems, are analyz...

The Euler and Navier–Stokes equations for an incompressible fluid in two dimensions with periodic boundary conditions are considered. Concerning the Euler equation, previous works analyzed the associated (first order) Liouville operator L as a symmetric linear operator in a Hilbert space L2( ) with respect to a natural invariant Gaussian measure (given by the enstrophy), with domain the subspac...

in this paper we study properties of symbols such that these belong to class of symbols sitting insidesm ρ,φ that we shall introduce as the following. so for because hypoelliptic pseudodifferential operatorsplays a key role in quantum mechanics we will investigate some properties of m−hypoelliptic pseudodifferential operators for which define base on this class of symbols. also we consider maxi...

This paper studies the learning of linear operators between infinite-dimensional Hilbert spaces. The training data comprises pairs random input vectors in a space and their noisy images under an unknown self-adjoint operator. Assuming that operator is diagonalizable known basis, this work solves equivalent inverse problem estimating operator’s eigenvalues given data. Adopting Bayesian approach,...

In this article, we are interested in a new generic class of nonlocal fractional impulsive differential inclusions with linear sectorial operator and Lipschitz multivalued function the setting finite dimensional Banach spaces. By modifying definition PC-mild solutions initiated by Shu, succeeded to determine conditions that sufficiently guarantee existence solutions. The results obtained combin...

The paper discusses a constructive solution of the problem of the realization of a given (strictly) contractive time-varying system as the partial transfer operator of a lossless system. The construction is done in a state space context and gives rise to a time-varying Riccati-type equation. It is the generalization to the time-varying case of the time-invariant Darlington synthesis.

The study of fixed points of single-valued self-mappings or multivalued self-mappings satisfying certain contraction conditions has a great majority of results inmetric fixed point theory. All these results are mainly generalizations of Banach contraction principle. The Banach contraction principle guarantees the existence and uniqueness of fixed points of certain self-maps in complete metric s...

When used to learn high dimensional parametric probabilistic models, the classical maximum likelihood (ML) learning often suffers from computational intractability, which motivates the active developments of non-ML learning methods. Yet, because of their divergent motivations and forms, the objective functions of many non-ML learning methods are seemingly unrelated, and there lacks a unified fr...

in this paper we discuss on the fixed points of asymptotic contractions and boyd-wong type contractions in uniform spaces equipped with an e-distance. a new version ofkirk's fixed point theorem is given for asymptotic contractions and boyd-wong type contractions is investigated in uniform spaces.

The field of iterated belief change has focused mainly on revision, with the other main operator of AGM belief change theory, i.e., contraction receiving relatively little attention. In this paper we extend the Harper Identity from single-step change to define iterated contraction in terms of iterated revision. Specifically, just as the Harper Identity provides a recipe for defining the belief ...